منابع مشابه
Parametric Matroid of Rough Set
Rough set is mainly concerned with the approximations of objects through an equivalence relation on a universe. Matroid is a combinatorial generalization of linear independence in vector spaces. In this paper, we define a parametric set family, with any subset of a universe as its parameter, to connect rough sets and matroids. On the one hand, for a universe and an equivalence relation on the u...
متن کاملRelationship Between Partition Matroid and Rough Set Through k - rank Matroid ⋆
Rough set is a theory of data analysis and a mathematical tool for dealing with vagueness, incompleteness, and granularity. Matroid, as a branch of mathematics, is a structure that generalizes linear independence in vector spaces. In this paper, we establish the relationships between partition matroids and rough sets through k-rank matroids. On the one hand, k-rank matroids are proposed to repr...
متن کاملRelationship between the second type of covering-based rough set and matroid via closure operator
Recently, in order to broad the application and theoretical areas of rough sets and matroids, some authors have combined them from many different viewpoints, such as circuits, rank function, spanning sets and so on. In this paper, we connect the second type of covering-based rough sets and matroids from the view of closure operators. On one hand, we establish a closure system through the fixed ...
متن کاملRelation matroid and its relationship with generalized rough set based on relation
Recently, the relationship between matroids and generalized rough sets based on relations has been studied from the viewpoint of linear independence of matrices. In this paper, we reveal more relationships by the predecessor and successor neighborhoods from relations. First, through these two neighborhoods, we propose a pair of matroids, namely predecessor relation matroid and successor relatio...
متن کاملElementary Rough Set Granules: Toward a Rough Set Processor
In this chapter, the basics of the rough set approach are presented, and an outline of an exemplary processor structure is given. The organization of a simple processor is based on elementary rough set granules and dependencies between them. The rough set processor (RSP) is meant to be used as an additional fast classification unit in ordinary computers or as an autonomous learning machine. In ...
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ژورنال
عنوان ژورنال: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
سال: 2015
ISSN: 0218-4885,1793-6411
DOI: 10.1142/s0218488515500403